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Finding the Fourth Proportional to 213.07, 293.84 and 157.94

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Solution

The fourth proportional to 213.07, 293.84 and 157.94 is: 217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 293.84 = 157.94 : x
  2. Step 2: Convert to fraction form
    213.07/293.84 = 157.94/x
  3. Step 3: Cross multiply
    213.07x = 293.84 × 157.94
  4. Step 4: Simplify right side
    213.07x = 46,409.09
  5. Step 5: Solve for x
    x = 46,409.09/213.07
  6. Step 6: Final answer
    x = 217.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.